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Finding the Fourth Proportional to 1,189.71, 1,784.48 and 324.09

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Solution

The fourth proportional to 1,189.71, 1,784.48 and 324.09 is: 486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.71 : 1,784.48 = 324.09 : x
  2. Step 2: Convert to fraction form
    1,189.71/1,784.48 = 324.09/x
  3. Step 3: Cross multiply
    1,189.71x = 1,784.48 × 324.09
  4. Step 4: Simplify right side
    1,189.71x = 578,330.50
  5. Step 5: Solve for x
    x = 578,330.50/1,189.71
  6. Step 6: Final answer
    x = 486.11

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.